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Finding the Fourth Proportional to 9,747.38, 13,450.87 and 5,498.32

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Solution

The fourth proportional to 9,747.38, 13,450.87 and 5,498.32 is: 7,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.38 : 13,450.87 = 5,498.32 : x
  2. Step 2: Convert to fraction form
    9,747.38/13,450.87 = 5,498.32/x
  3. Step 3: Cross multiply
    9,747.38x = 13,450.87 × 5,498.32
  4. Step 4: Simplify right side
    9,747.38x = 73,957,187.54
  5. Step 5: Solve for x
    x = 73,957,187.54/9,747.38
  6. Step 6: Final answer
    x = 7,587.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.